. >>> kate middleton the wife of prince william is resting at the couple's london home. the duchess of cambridge is recovering from an illness related to her pregnancy with her first child. we have a report now from london. >> reporter: the duchess of cambridge smiled as she made her first public appearance since the royal family announced she's pregnant. she and her husband prince william left the london hospital where kate spent three nights for severe morning sickness. the duchess was still feeling symptoms, she didn't show it. she told the press she was doing much better. she was bundled up to guard against the cold and to protect the royal bundle of joy. >> great end to a great year. everybody is excited. >> reporter: kate will take it easy at the couple's london home. the duchess has cancelled all of her public events for the weekend. >> we're excited about it. >> reporter: prince charles the soon to be grandfather said he's thrilled will and kate are having a baby. >> very nice to be a grandfather in my old age. splendid. i'm glad my daughter-in-law is getting bet